Answer:
9.1
Step-by-step explanation:
correct on Edg 2020-21
in a golden rectangle the ratio of the length to the width equals the ratio of the length plus width to the length. find the value of this golden ratio.
The value of this golden ratio = 1/2 (1 + √5) = 1.618
Ratio:
Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion. We apply the concepts of ratio and proportion every day, for example, while dealing with money in business or when preparing any meal, etc. Students occasionally struggle to understand the difference between ratio and proportion.
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) An expression is given above.Which statement is true about the parenthesis in this expression?A) The parenthesis indicate that 8 + 2 should be solved first.B) The parenthesis indicate that 8 + 2 should be solved last.C) The parenthesis indicate that 2 ÷ 2 should be solved last.D) The parenthesis indicate that 3 x 8 should be solved first.
Given the expression:
\(3\cdot(8+2)\div2\)You need to remember the order of operations PEMDAS. This is:
- P: Parentheses.
- E: Exponents.
- M and D: Multiplication and Division.
- A and S: Addition and Subtraction.
Therefore, you can conclude that the operations inside the parentheses should be solved first. In this case, the operation inside the parentheses is the Addition of 8 and 2.
Hence, the answer is: Option A.
The mathematically appropriate way to say 1.27 is;
A. one hundred twenty seven
B. one point two seven
C. One and twenty seven hundreds
D. one point twenty seven hundreds
E. one and twenty seven hundredths
The mathematically appropriate way to say 1.27 is "one and twenty-seven hundredths," option E is the correct answer.
When expressing numbers with decimal places, it is important to use the appropriate mathematical terminology to ensure clarity and precision. The number 1.27 can be expressed as "one and twenty-seven hundredths."
The digits after the decimal point represent fractions of a whole number, with each digit to the right of the decimal point representing a power of ten that is one-tenth the value of the previous digit.
Using the correct terminology when discussing numbers with decimal places can help avoid confusion and miscommunication. In particular, expressing the fractional component using hundredths is often preferred when working with financial or scientific data.
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Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function?
The graph of f(x) passes the vertical line test.
f(x) is a one-to-one function.
The graph of the inverse of f(x) passes the horizontal line test.
f(x) is not a function.
If g(x) is the inverse of f(x), what is the value of f(g(2))?
–6
–3
2
5
Answer:
1st q answer is f(x) is one- to -one function and 2nd q answer is 2
Answer:
1) f(x) is one - to - one function2) 2Step-by-step explanation:
inverse of f(x)Let f(x) = y
y = 2x - 3
x = y + 3 / 2
inverse of f(x) = x + 3 / 2
g(x) = inverse of f(x)f [g(2)]
f [2+3/2]
f [5/2]
(2×5/2)-3
5-3
= 2
Therefore f [g(2)] = 23 - (2x - 5) < -4 (x+2) can someone please help me get the answer i dont know how to get it
Answer:
x < -8
Step-by-step explanation:
3 - (2x - 5) < -4 (x+2)
distribute
3 - 2x + 5 < -4x - 8
add the numbers
8 - 2x < -4x - 8
move the x
2x < -16
divide
x < -8
WILL GIVE BRAINLIEST IF ANSWERED PROPERLY AND POINTS, WILL REPORT IF U SPAM
Answer:
Step-by-step explanation:
\(\displaystyle\\ax+by=c\\\\by=c-ax\\\\\frac{by}{b}=\frac{c-ax}{b} \\\\y=\frac{c-ax}{b}\)
Answer: Basically, bottom is first. The top is second, and the middle one is last.
Step-by-step explanation:
1. Super Duper Easy, first, subtract ax, making it by = c - ax
2. Then, divide b , so by/b = c/b - ax/b
3. Becoming y = c/b - ax/b
what is the result of (2.5 x 10²) + (5.2300 x 10⁴) =
The result of the equation (2.5 x 10²) + (5.2300 x 10⁴) is 5.255 x 10⁴ or 52550.
To solve this given equation,
One first needs to take the common exponent out in both numbers
i.e. we need to take common from 2.5 x 10² and 5.2300 x 10⁴ which comes out to be 10²
Therefore, using the distributive property of multiplication that states ax + bx = x (a+b)
we have, (2.5 x 10²) + (5.2300 x 10⁴) = 10² (2.5 + 5.23 x 10²)
= 10² (2.5 + 523)
=10² x 525.5
We convert this into proper decimal notation, and we get,
=5.255 x 10⁴
Therefore, we get 5.255 x 10⁴ as the result of the given equation.
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What is the lowest common denominator of 5/8 and 3/4
Answer:
8
Step-by-step explanation:
the denominator of 5/8 is 8
the denominator of 3/4 is 4
4 can be multiplied by 2 to get 8. If we multiply the entire fraction by 2/2, the fraction changes into 6/8
Now 5/8 and 6/8 share the same denominator and it's the smallest denominator shared between the two.
Help ASAP I need to pass this or I fail help
Answer:
same number of dollars
Step-by-step explanation:
5.25
Answer: I'd say Number of dollars, which is 5.25 per hours
Step-by-step explanation:
26.25/5= 5.25, and 42/8 is also 5.25
Let n and k be unknown positive numbers. Express cos{ arctan(n) + arccot(k)} without trig functions and inverse trig functions.
cos{ arctan(n) + arccot(k) } can be expressed as 1 / sqrt(1 + ((nk + k) / (k - nk))^2) without using trigonometric functions and inverse trigonometric functions.
To express cos{ arctan(n) + arccot(k) } without using trigonometric functions and inverse trigonometric functions, we can use the properties of trigonometric identities.
First, let's consider the expression arctan(n) + arccot(k). We can rewrite arccot(k) as arctan(1/k) since arccot(x) is equivalent to arctan(1/x). Now we have:
arctan(n) + arctan(1/k)
We can use the trigonometric identity for the sum of two angles:
arctan(a) + arctan(b) = arctan((a + b) / (1 - ab))
Applying this identity to our expression, we get:
arctan(n) + arctan(1/k) = arctan((n + 1/k) / (1 - n/k))
Now, let's find the cosine of the expression:
cos{ arctan(n) + arctan(1/k) } = cos{ arctan((n + 1/k) / (1 - n/k)) }
Using the identity cos(arctan(x)) = 1 / sqrt(1 + x^2), we have:
cos{ arctan(n) + arctan(1/k) } = 1 / sqrt(1 + ((n + 1/k) / (1 - n/k))^2)
Simplifying further:
cos{ arctan(n) + arctan(1/k) } = 1 / sqrt(1 + ((nk + k) / (k - nk))^2)
Therefore, cos{ arctan(n) + arccot(k) } can be expressed as 1 / sqrt(1 + ((nk + k) / (k - nk))^2) without using trigonometric functions and inverse trigonometric functions.
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During the rebuilding after World War II, we were short of tractors. The machine and tractor stations would lend each other equipment as needed. Three machine and tractor stations were neighbors. The first lent the second and third as many tractors as they each already had. A few months later, the second lent the first and third as many as they each had. Still later, the third lent the first and second as many as they each already had. Each station now had 24 tractors.
How many tractors did each station originally have?
The number of tractors lent by the first, second and third stations results in a system of three simultaneous equations which indicates;
The first originally station had 39 tractors, the second station had 21 tractors and the third station originally had 12 tractors
What are simultaneous equations?Simultaneous equations are a set of two or more equations that have common variables.
Let x represent the number of tractors at the first station, let y represent the number of tractors at the second tractor station, and let z, represent the number of tractors at the third tractor station
According to the details in the question, after the first transaction, we get
Number of tractors at the first station = x - y - z
Number of tractors at the second station = y + y = 2·y
Number of tractors at the third station = z + z = 2·z
After the second transaction, we get;
Number of tractors at the first station = 2·x - 2·y - 2·z
Number of tractors at the second station = 2·y - (x - y - z) - 2·z = 3·y - x - z
Number of tractors at the third station = 2·z + 2·z = 4·z
After the third transaction, we get;
Number of tractors at the first station = 2 × (2·x - 2·y - 2·z) = 4·x - 4·y - 4·z
Number of tractors at the second tractor station = 6·y - 2·x - 2·z
Number of tractors at the third tractor station = 4·z - (2·x - 2·y - 2·z) - (3·y - x - z) = 7·z - x - y
The three equations after the third transaction are therefore;
4·x - 4·y - 4·z = 24...(1)
6·y - 2·x - 2·z = 24...(2)
7·z - x - y = 24...(3)
Multiplying equation (2) by 2 and subtracting equation (1) from the result we get;
12·y - 4·x - 4·z - (4·x - 4·y - 4·z) = 16·y - 8·x = 48 - 24 = 24
16·y - 8·x = 24...(4)
Multiplying equation (3) by 2 and multiplying equation (2) by 7, then adding both results, we get;
14·z - 2·x - 2·y = 48
42·y - 14·x - 14·z = 168
42·y - 14·x - 14·z + (14·z - 2·x - 2·y) = 48 + 168
40·y - 16·x = 216...(5)
Multiplying equation (4) by 2 and then subtracting the result from equation (5), we get;
40·y - 16·x - (32·y - 16·x) = 216 - 48 = 168
8·y = 168
y = 168/8 = 21
The number of tractors initially at the second station, y = 21
16·y - 8·x = 24, therefore, 16 × 21 - 8·x = 24
8·x = 16 × 21 - 24 = 312
x = 312 ÷ 8 = 39
The number of tractors initially at the first station, x = 39
7·z - x - y = 24, therefore, 7·z - 39 - 21 = 24
7·z = 24 + 39 + 21 = 84
z = 84/7 = 12
The number of tractors initially at the third station, z = 12
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Which of the following functions matches this graph?
Answer:
a. y=x^2
Step-by-step explanation:
desmos graphing calculator
Please help fast! The table shows the results of spinning a spinner several times
Out come A B C D E
frequency 2 4 3 1 2
What is the experimental probability of spinning a c or a d?
2/5
1/48
4/5
1/3
Answer:
2/5
hope it helps
Thank you
Stephanie is 62 inches tall. Her brother is t inches shorter than she is.
Which expression could be used to find Stephanie's brother's height?
Plzzz show work
Answer: 62 - T
Step-by-step explanation:
I think it is 62 - T because Stephanie is 62 inches and it says that her brother is shorter which I believe it means that you have to subtract.
how do i simplify the expression?
Answer: ≈1.71
Step-by-step explanation:
\(\displaystyle\\(5^\frac{2}{3}) ^\frac{1}{2} =\\\\5^{\frac{2}{3}(\frac{1}{2})} =\\\\5^\frac{2(1)}{3(2)} =\\\\5^\frac{1}{3} =\\\\\sqrt[3]{5} }=\\\\\approx1.71\)
describe how to estimate the regression function (equivalently, a,b) by the least-squares principle. notes: you only need to provide a description. this is an example of a nonlinear regression model.
The estimates are used to construct the estimated regression equation:
ŷ = b0 + b1x.
What is the estimation of the regression function?Regression analysis is typically performed for one of two reasons: to estimate the influence of some explanatory variable on the dependent variable or to predict the value of the dependent variable for individuals for whom some information about the explanatory variables is available. Y = mX + b is the equation for simple linear regression, where X is the predictor (independent) variable, m is the estimated slope, and b is the estimated intercept. An estimated regression equation is created using these estimates: ŷ = b0 + b1xA straight line is a good approximation to the relationship between y and x on the graph of the estimated regression equation for simple linear regression.Therefore, the estimates are used to construct the estimated regression equation: ŷ = b0 + b1x.
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answer for immediate brainliest!!!
Answer:
pretty sure it's 3 7/8
a2+ 12a− 7 − 3a2− 5a+ 8
State whether the following statement is true or false. The Law of Sines can be used to solve triangles where three sides are known Choose the correct answer below. A. False, because to use the Law of Sines, all three angles must be known B. True, because to use the Law of Sines, all three sides must be known. C. True, because to use the Law of Sines, at least two sides must be known D. False, because to use the Law of Sines, two angles and one side or two sides and one angle must be known.
C. True, because to use the Law of Sines, at least two sides must be known.
The Law of Sines is a trigonometric rule that relates the sides and angles of any triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle.
To use the Law of Sines, at least two sides and the angle opposite one of them (or two angles and one side) must be known.
Therefore, the statement "The Law of Sines can be used to solve triangles where three sides are known" is false, as it is not necessary to use the Law of Sines to solve a triangle where all three sides are known.
In summary, the correct answer is C. True, because to use the Law of Sines, at least two sides must be known.
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What multiplication equattion can be used to explain the solution to 15 / 1/3
Step-by-step explanation:
15 / (1/3) is equal to 15 x 3/1 = 15 x 3 = 45
Please explain in detail the utilization of Thematic Analysis in
a Qualitative Descriptive Study Design.
Thematic Analysis is a process that is used to analyze the text in research in qualitative research. It aims to find the patterns in the data by examining the contents of the text.
In the Qualitative Descriptive Study Design, thematic analysis is utilized to analyze the data obtained from interviews, observation, or other qualitative methods. This method involves the identification of themes and patterns in the data. It helps the researcher to organize the data, identify patterns, and develop the categories and themes that will be used to describe the findings of the study.
Thematic Analysis is used in Qualitative Descriptive Study Design to provide an in-depth understanding of the research topic. It allows the researcher to capture and analyze the rich and diverse experiences of the participants in the study. In this method, data is collected from the participants, and the researcher analyzes the data by identifying the common themes and patterns that emerge from the data. This process of analysis is done in a systematic and iterative manner until the researcher identifies all the themes that are relevant to the research question.
Thematic analysis is useful in qualitative research because it allows the researcher to identify the themes and patterns in the data that are not explicitly stated by the participants. It helps to identify the underlying meanings of the data and to develop a deeper understanding of the research topic. This method is particularly useful when the researcher is dealing with large volumes of data and wants to identify the key themes and patterns that emerge from the data.
In conclusion, Thematic Analysis is a useful method of analysis in Qualitative Descriptive Study Design. It is used to analyze the data obtained from interviews, observation, or other qualitative methods. This method involves the identification of themes and patterns in the data and helps the researcher to organize the data, identify patterns, and develop the categories and themes that will be used to describe the findings of the study.
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A 6 ft tall tent standing next to a cardboard box casts a 9 ft shadow. If the cardboard box casts a shadow that is 6 ft long then how tall is it ?
Answer:
6ft tall tent = 9ft shadowby that logic, 6ft shadow - 3 = 3ft tall cardboard box. Brainiest please if correct
a sample of 900 computer chips revealed that 46% of the chips do not fail in the first 1000 hours of their use. the company's promotional literature states that 44% of the chips do not fail in the first 1000 hours of their use. the quality control manager wants to test the claim that the actual percentage that do not fail is different from the stated percentage. find the value of the test statistic. round your answer to two decimal places.
Therefore, the value of the test statistic is 2.02 (rounded to two decimal places).
To test the claim that the actual percentage of computer chips that do not fail in the first 1000 hours of their use is different from the stated percentage of 44%, we can use a hypothesis test with the following null and alternative hypotheses:
Null hypothesis: The proportion of computer chips that do not fail in the first 1000 hours of their use is equal to 44%.
Alternative hypothesis: The proportion of computer chips that do not fail in the first 1000 hours of their use is not equal to 44%.
We can use a normal approximation to the binomial distribution to calculate the test statistic:
z = (p - P) / √(P(1-P)/n)
where:
p = sample proportion = 0.46
P = hypothesized proportion = 0.44
n = sample size = 900
Plugging in the values, we get:
z = (0.46 - 0.44) / √(0.44*0.56/900)
z = 2.02
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Danielle pays a monthly charge of $69 for her cable bill. She also pays a fee every time she watches a movie on demand. Last mouth Danielle watched 7 movies on demand, and her total monthly bill was $104
Please help I will mark Brainly
Julia decides to make 5 batches of salad dressing. How much sugar should she use?
A)4/5 cup
B)1 1/5
C)5 1/4
D)1 1/4
ANSWER ALL THESE QUESTIONNN WITH THE WORK AND YOU WILL GET 25 POINTS AND BRAINILEST
Answer:
1: 16 2: 15 3: 25 4: 12
I don't know any more than that but I hope this helps a little
Step-by-step explanation:
Find the Taylor polynomialT3(x)for the function f centered at the number a.f(x) = 5 tan^(-1)x, a = 1
The Taylor polynomial T3(x) for the function f(x) = 5tan^(-1)x centered at a = 1 is T3(x) = 5[(x-1) - (x-1)^3/3 + (x-1)^5/5].
To find the Taylor polynomial T3(x), we first need to find the derivatives of f(x) at x = 1. The derivatives of f(x) are f'(x) = 5/(1+x^2), f''(x) = -10x/(1+x^2)^2, f'''(x) = 30(1-x^2)/(1+x^2)^3. We evaluate these derivatives at x = 1 to get f(1) = 5tan^(-1)1 = 5π/4, f'(1) = 5/2, f''(1) = -25/8, and f'''(1) = 75/16. Next, we use the Taylor series formula to write the Taylor polynomial T3(x) as T3(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)^2/2! + f'''(a)(x-a)^3/3!, where a = 1. We substitute the values we found above to get T3(x) = 5π/4 + 5/2(x-1) - 25/16(x-1)^2 + 75/48(x-1)^3. Simplifying the polynomial gives T3(x) = 5[(x-1) - (x-1)^3/3 + (x-1)^5/5].
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explain how to factorise i,j and n
Answer:
see explanation
Step-by-step explanation:
A difference of squares is factored in general as
a² - b² = (a - b)(a + b)
(i)
(x + 5)² - 16 ← is a difference of squares, that is
(x + 5)² - 4²
= (x + 5 - 4)(x + 5 + 4)
= (x + 1)(x + 9)
(j)
(x - 4)² - 9 ← is a difference of squares, that is
(x - 4)² - 3²
= (x - 4 - 3)(x - 4 + 3)
= (x - 7)(x - 1)
(n)
(2y + 7)² - y² ← is a difference of squares
= (2y + 7 - y)(2y + 7 + y)
=(y + 7)(3y + 7)
Which statement is true? Question 3 options: 0 is a natural number -9 is a whole number 4.6 is a rational number 81−−√ is an irrational number
Answer:
the true statement, 0 is a natural number